In this section, we construct 2D currents that generate a \({\rm w}_{1+\infty }\)  symmetry action on celestial amplitudes [1]}. We introduce the light transform of a celestial operator
\( \begin{split}{\bf L}[\mathcal {O}_{h, {\bar{h}}}] (z, {\bar{z}})\equiv \int _{\mathbb {R}} \frac{d {\bar{w}}}{2 \pi i}\frac{1}{({\bar{z}}-{\bar{w}})^{2-2{\bar{h}}}} \mathcal {O}_{h, {\bar{h}}} (z, {\bar{w}}).\end{split}\) 
